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since
x=(2-√3),
then
1/x = (2+√3),
hence
(x + 1/x) = (2-√3)+(2+√3)=2+2=4,
therefore
(x+1/x)³ + 2(x+1/x)² + (x+1/x) -100,
(4)³ + 2(4)² + 4 -100,
64+32-96,
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